A particle is moving along a circular path with constant speed and centripetal acceleration $a$. If the…
A particle is moving along a circular path with constant speed and centripetal acceleration $a$. If the speed is doubled, the ratio of its acceleration after and before the change is
2:1
4:1
3:1
1:4
Solution
$\begin{aligned}
& \text { Centripetal acceleration }=\frac{v^2}{R} \\
& \therefore a \propto v^2
\end{aligned}$
If the speed is doubled, then the ratio of its acceleration after and before are in $4: 1$ ratio.